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Finding the Fourth Proportional to 9,462.30, 13,059.50 and 5,485.71

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Solution

The fourth proportional to 9,462.30, 13,059.50 and 5,485.71 is: 7,571.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,462.30 : 13,059.50 = 5,485.71 : x
  2. Step 2: Convert to fraction form
    9,462.30/13,059.50 = 5,485.71/x
  3. Step 3: Cross multiply
    9,462.30x = 13,059.50 × 5,485.71
  4. Step 4: Simplify right side
    9,462.30x = 71,640,602.32
  5. Step 5: Solve for x
    x = 71,640,602.32/9,462.30
  6. Step 6: Final answer
    x = 7,571.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.